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1063063040 = 29513171879
BaseRepresentation
bin111111010111010…
…000111000000000
32202002100012100012
4333113100320000
54134121004130
6253253044052
735225613104
oct7727207000
92662305305
101063063040
114a6086aa6
12258026628
1313c31a3b0
14a1285904
15634db995
hex3f5d0e00

1063063040 has 160 divisors (see below), whose sum is σ = 2907938880. Its totient is φ = 369229824.

The previous prime is 1063063039. The next prime is 1063063051. The reversal of 1063063040 is 403603601.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10630630402 = 2260206054028083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1063062997 and 1063063015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564821 + ... + 566699.

It is an arithmetic number, because the mean of its divisors is an integer number (18174618).

Almost surely, 21063063040 is an apocalyptic number.

1063063040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1063063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453969440).

1063063040 is an abundant number, since it is smaller than the sum of its proper divisors (1844875840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1063063040 is a wasteful number, since it uses less digits than its factorization.

1063063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 1063063040 is about 32604.6475214807. The cubic root of 1063063040 is about 1020.5939895394.

Adding to 1063063040 its reverse (403603601), we get a palindrome (1466666641).

The spelling of 1063063040 in words is "one billion, sixty-three million, sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 128 130 136 160 170 208 221 256 260 272 320 340 416 442 512 520 544 640 680 832 884 1040 1088 1105 1280 1360 1664 1768 1879 2080 2176 2210 2560 2720 3328 3536 3758 4160 4352 4420 5440 6656 7072 7516 8320 8704 8840 9395 10880 14144 15032 16640 17680 18790 21760 24427 28288 30064 31943 33280 35360 37580 43520 48854 56576 60128 63886 70720 75160 97708 113152 120256 122135 127772 141440 150320 159715 195416 240512 244270 255544 282880 300640 319430 390832 415259 481024 488540 511088 565760 601280 638860 781664 830518 962048 977080 1022176 1202560 1277720 1563328 1661036 1954160 2044352 2076295 2405120 2555440 3126656 3322072 3908320 4088704 4152590 4810240 5110880 6253312 6644144 7816640 8177408 8305180 10221760 12506624 13288288 15633280 16354816 16610360 20443520 26576576 31266560 33220720 40887040 53153152 62533120 66441440 81774080 106306304 132882880 212612608 265765760 531531520 1063063040